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Finding the Fourth Proportional to 131,098.76, 181,094.38 and 102,776

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Solution

The fourth proportional to 131,098.76, 181,094.38 and 102,776 is: 141,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,098.76 : 181,094.38 = 102,776 : x
  2. Step 2: Convert to fraction form
    131,098.76/181,094.38 = 102,776/x
  3. Step 3: Cross multiply
    131,098.76x = 181,094.38 × 102,776
  4. Step 4: Simplify right side
    131,098.76x = 18,612,155,998.88
  5. Step 5: Solve for x
    x = 18,612,155,998.88/131,098.76
  6. Step 6: Final answer
    x = 141,970.50

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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.