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Finding the Fourth Proportional to 191,159.87, 286,798.13 and 97,731.23

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Solution

The fourth proportional to 191,159.87, 286,798.13 and 97,731.23 is: 146,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,159.87 : 286,798.13 = 97,731.23 : x
  2. Step 2: Convert to fraction form
    191,159.87/286,798.13 = 97,731.23/x
  3. Step 3: Cross multiply
    191,159.87x = 286,798.13 × 97,731.23
  4. Step 4: Simplify right side
    191,159.87x = 28,029,134,006.60
  5. Step 5: Solve for x
    x = 28,029,134,006.60/191,159.87
  6. Step 6: Final answer
    x = 146,626.66

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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.