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Finding the Fourth Proportional to 102,654.90, 153,935.40 and 31,552.77

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Solution

The fourth proportional to 102,654.90, 153,935.40 and 31,552.77 is: 47,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.90 : 153,935.40 = 31,552.77 : x
  2. Step 2: Convert to fraction form
    102,654.90/153,935.40 = 31,552.77/x
  3. Step 3: Cross multiply
    102,654.90x = 153,935.40 × 31,552.77
  4. Step 4: Simplify right side
    102,654.90x = 4,857,088,271.06
  5. Step 5: Solve for x
    x = 4,857,088,271.06/102,654.90
  6. Step 6: Final answer
    x = 47,314.72

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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.