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Finding the Fourth Proportional to 102,654.40, 153,981.95 and 31,576.55

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Solution

The fourth proportional to 102,654.40, 153,981.95 and 31,576.55 is: 47,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.40 : 153,981.95 = 31,576.55 : x
  2. Step 2: Convert to fraction form
    102,654.40/153,981.95 = 31,576.55/x
  3. Step 3: Cross multiply
    102,654.40x = 153,981.95 × 31,576.55
  4. Step 4: Simplify right side
    102,654.40x = 4,862,219,207.17
  5. Step 5: Solve for x
    x = 4,862,219,207.17/102,654.40
  6. Step 6: Final answer
    x = 47,364.94

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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.