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Finding the Fourth Proportional to 207,038.61, 285,724.53 and 115,167.60

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Solution

The fourth proportional to 207,038.61, 285,724.53 and 115,167.60 is: 158,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,038.61 : 285,724.53 = 115,167.60 : x
  2. Step 2: Convert to fraction form
    207,038.61/285,724.53 = 115,167.60/x
  3. Step 3: Cross multiply
    207,038.61x = 285,724.53 × 115,167.60
  4. Step 4: Simplify right side
    207,038.61x = 32,906,208,381.23
  5. Step 5: Solve for x
    x = 32,906,208,381.23/207,038.61
  6. Step 6: Final answer
    x = 158,937.54

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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.