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Finding the Fourth Proportional to 100,702.59, 138,970.45 and 54,762.39

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Solution

The fourth proportional to 100,702.59, 138,970.45 and 54,762.39 is: 75,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.59 : 138,970.45 = 54,762.39 : x
  2. Step 2: Convert to fraction form
    100,702.59/138,970.45 = 54,762.39/x
  3. Step 3: Cross multiply
    100,702.59x = 138,970.45 × 54,762.39
  4. Step 4: Simplify right side
    100,702.59x = 7,610,353,981.38
  5. Step 5: Solve for x
    x = 7,610,353,981.38/100,702.59
  6. Step 6: Final answer
    x = 75,572.57

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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.