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Finding the Fourth Proportional to 78,070.30, 107,737.04 and 42,260.20

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Solution

The fourth proportional to 78,070.30, 107,737.04 and 42,260.20 is: 58,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070.30 : 107,737.04 = 42,260.20 : x
  2. Step 2: Convert to fraction form
    78,070.30/107,737.04 = 42,260.20/x
  3. Step 3: Cross multiply
    78,070.30x = 107,737.04 × 42,260.20
  4. Step 4: Simplify right side
    78,070.30x = 4,552,988,857.81
  5. Step 5: Solve for x
    x = 4,552,988,857.81/78,070.30
  6. Step 6: Final answer
    x = 58,319.09

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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.