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Finding the Fourth Proportional to 210,565.41, 315,658.57 and 77,417.20

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Solution

The fourth proportional to 210,565.41, 315,658.57 and 77,417.20 is: 116,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,565.41 : 315,658.57 = 77,417.20 : x
  2. Step 2: Convert to fraction form
    210,565.41/315,658.57 = 77,417.20/x
  3. Step 3: Cross multiply
    210,565.41x = 315,658.57 × 77,417.20
  4. Step 4: Simplify right side
    210,565.41x = 24,437,402,991.59
  5. Step 5: Solve for x
    x = 24,437,402,991.59/210,565.41
  6. Step 6: Final answer
    x = 116,056.11

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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.