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Finding the Fourth Proportional to 210,834.54, 316,294.14 and 77,715.48

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Solution

The fourth proportional to 210,834.54, 316,294.14 and 77,715.48 is: 116,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,834.54 : 316,294.14 = 77,715.48 : x
  2. Step 2: Convert to fraction form
    210,834.54/316,294.14 = 77,715.48/x
  3. Step 3: Cross multiply
    210,834.54x = 316,294.14 × 77,715.48
  4. Step 4: Simplify right side
    210,834.54x = 24,580,950,911.29
  5. Step 5: Solve for x
    x = 24,580,950,911.29/210,834.54
  6. Step 6: Final answer
    x = 116,588.82

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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.