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Finding the Fourth Proportional to 97,314.75, 134,095.08 and 71,780.67

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Solution

The fourth proportional to 97,314.75, 134,095.08 and 71,780.67 is: 98,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.75 : 134,095.08 = 71,780.67 : x
  2. Step 2: Convert to fraction form
    97,314.75/134,095.08 = 71,780.67/x
  3. Step 3: Cross multiply
    97,314.75x = 134,095.08 × 71,780.67
  4. Step 4: Simplify right side
    97,314.75x = 9,625,434,686.10
  5. Step 5: Solve for x
    x = 9,625,434,686.10/97,314.75
  6. Step 6: Final answer
    x = 98,910.34

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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.