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Finding the Fourth Proportional to 119,543.68, 164,920.84 and 71,136

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Solution

The fourth proportional to 119,543.68, 164,920.84 and 71,136 is: 98,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,543.68 : 164,920.84 = 71,136 : x
  2. Step 2: Convert to fraction form
    119,543.68/164,920.84 = 71,136/x
  3. Step 3: Cross multiply
    119,543.68x = 164,920.84 × 71,136
  4. Step 4: Simplify right side
    119,543.68x = 11,731,808,874.24
  5. Step 5: Solve for x
    x = 11,731,808,874.24/119,543.68
  6. Step 6: Final answer
    x = 98,138.26

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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.