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Finding the Fourth Proportional to 91,929.40, 138,023.70 and 56,937.40

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Solution

The fourth proportional to 91,929.40, 138,023.70 and 56,937.40 is: 85,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,929.40 : 138,023.70 = 56,937.40 : x
  2. Step 2: Convert to fraction form
    91,929.40/138,023.70 = 56,937.40/x
  3. Step 3: Cross multiply
    91,929.40x = 138,023.70 × 56,937.40
  4. Step 4: Simplify right side
    91,929.40x = 7,858,710,616.38
  5. Step 5: Solve for x
    x = 7,858,710,616.38/91,929.40
  6. Step 6: Final answer
    x = 85,486.37

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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.