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Finding the Fourth Proportional to 102,095.31, 140,894.95 and 56,156.90

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Solution

The fourth proportional to 102,095.31, 140,894.95 and 56,156.90 is: 77,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,095.31 : 140,894.95 = 56,156.90 : x
  2. Step 2: Convert to fraction form
    102,095.31/140,894.95 = 56,156.90/x
  3. Step 3: Cross multiply
    102,095.31x = 140,894.95 × 56,156.90
  4. Step 4: Simplify right side
    102,095.31x = 7,912,222,913.18
  5. Step 5: Solve for x
    x = 7,912,222,913.18/102,095.31
  6. Step 6: Final answer
    x = 77,498.40

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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.