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Finding the Fourth Proportional to 162,124.40, 243,211.05 and 77,868.71

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Solution

The fourth proportional to 162,124.40, 243,211.05 and 77,868.71 is: 116,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,124.40 : 243,211.05 = 77,868.71 : x
  2. Step 2: Convert to fraction form
    162,124.40/243,211.05 = 77,868.71/x
  3. Step 3: Cross multiply
    162,124.40x = 243,211.05 × 77,868.71
  4. Step 4: Simplify right side
    162,124.40x = 18,938,529,505.19
  5. Step 5: Solve for x
    x = 18,938,529,505.19/162,124.40
  6. Step 6: Final answer
    x = 116,814.80

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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.