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Finding the Fourth Proportional to 162,159.40, 243,177.12 and 77,896.12

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Solution

The fourth proportional to 162,159.40, 243,177.12 and 77,896.12 is: 116,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,159.40 : 243,177.12 = 77,896.12 : x
  2. Step 2: Convert to fraction form
    162,159.40/243,177.12 = 77,896.12/x
  3. Step 3: Cross multiply
    162,159.40x = 243,177.12 × 77,896.12
  4. Step 4: Simplify right side
    162,159.40x = 18,942,554,120.77
  5. Step 5: Solve for x
    x = 18,942,554,120.77/162,159.40
  6. Step 6: Final answer
    x = 116,814.41

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1.5x scale

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.