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Finding the Fourth Proportional to 210,707.68, 316,061.85 and 86,048.68

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Solution

The fourth proportional to 210,707.68, 316,061.85 and 86,048.68 is: 129,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,707.68 : 316,061.85 = 86,048.68 : x
  2. Step 2: Convert to fraction form
    210,707.68/316,061.85 = 86,048.68/x
  3. Step 3: Cross multiply
    210,707.68x = 316,061.85 × 86,048.68
  4. Step 4: Simplify right side
    210,707.68x = 27,196,704,990.86
  5. Step 5: Solve for x
    x = 27,196,704,990.86/210,707.68
  6. Step 6: Final answer
    x = 129,073.15

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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.