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Finding the Fourth Proportional to 158,345.76, 218,509.02 and 86,711.94

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Solution

The fourth proportional to 158,345.76, 218,509.02 and 86,711.94 is: 119,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,345.76 : 218,509.02 = 86,711.94 : x
  2. Step 2: Convert to fraction form
    158,345.76/218,509.02 = 86,711.94/x
  3. Step 3: Cross multiply
    158,345.76x = 218,509.02 × 86,711.94
  4. Step 4: Simplify right side
    158,345.76x = 18,947,341,031.70
  5. Step 5: Solve for x
    x = 18,947,341,031.70/158,345.76
  6. Step 6: Final answer
    x = 119,658.03

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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.