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Finding the Fourth Proportional to 78,065.10, 107,730.11 and 42,255.11

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Solution

The fourth proportional to 78,065.10, 107,730.11 and 42,255.11 is: 58,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.10 : 107,730.11 = 42,255.11 : x
  2. Step 2: Convert to fraction form
    78,065.10/107,730.11 = 42,255.11/x
  3. Step 3: Cross multiply
    78,065.10x = 107,730.11 × 42,255.11
  4. Step 4: Simplify right side
    78,065.10x = 4,552,147,215.35
  5. Step 5: Solve for x
    x = 4,552,147,215.35/78,065.10
  6. Step 6: Final answer
    x = 58,312.19

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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.