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Finding the Fourth Proportional to 84,210.75, 116,211.12 and 45,971.15

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Solution

The fourth proportional to 84,210.75, 116,211.12 and 45,971.15 is: 63,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.75 : 116,211.12 = 45,971.15 : x
  2. Step 2: Convert to fraction form
    84,210.75/116,211.12 = 45,971.15/x
  3. Step 3: Cross multiply
    84,210.75x = 116,211.12 × 45,971.15
  4. Step 4: Simplify right side
    84,210.75x = 5,342,358,248.13
  5. Step 5: Solve for x
    x = 5,342,358,248.13/84,210.75
  6. Step 6: Final answer
    x = 63,440.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.