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Finding the Fourth Proportional to 105,398.79, 157,957.80 and 38,777.31

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Solution

The fourth proportional to 105,398.79, 157,957.80 and 38,777.31 is: 58,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,398.79 : 157,957.80 = 38,777.31 : x
  2. Step 2: Convert to fraction form
    105,398.79/157,957.80 = 38,777.31/x
  3. Step 3: Cross multiply
    105,398.79x = 157,957.80 × 38,777.31
  4. Step 4: Simplify right side
    105,398.79x = 6,125,178,577.52
  5. Step 5: Solve for x
    x = 6,125,178,577.52/105,398.79
  6. Step 6: Final answer
    x = 58,114.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.