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Finding the Fourth Proportional to 178,159.80, 245,881.26 and 102,711

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Solution

The fourth proportional to 178,159.80, 245,881.26 and 102,711 is: 141,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,159.80 : 245,881.26 = 102,711 : x
  2. Step 2: Convert to fraction form
    178,159.80/245,881.26 = 102,711/x
  3. Step 3: Cross multiply
    178,159.80x = 245,881.26 × 102,711
  4. Step 4: Simplify right side
    178,159.80x = 25,254,710,095.86
  5. Step 5: Solve for x
    x = 25,254,710,095.86/178,159.80
  6. Step 6: Final answer
    x = 141,753.13

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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.