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Finding the Fourth Proportional to 78,542.93, 108,389.21 and 42,732.90

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Solution

The fourth proportional to 78,542.93, 108,389.21 and 42,732.90 is: 58,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.93 : 108,389.21 = 42,732.90 : x
  2. Step 2: Convert to fraction form
    78,542.93/108,389.21 = 42,732.90/x
  3. Step 3: Cross multiply
    78,542.93x = 108,389.21 × 42,732.90
  4. Step 4: Simplify right side
    78,542.93x = 4,631,785,058.34
  5. Step 5: Solve for x
    x = 4,631,785,058.34/78,542.93
  6. Step 6: Final answer
    x = 58,971.38

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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.