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Finding the Fourth Proportional to 210,671.19, 315,859.16 and 77,534.13

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Solution

The fourth proportional to 210,671.19, 315,859.16 and 77,534.13 is: 116,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,671.19 : 315,859.16 = 77,534.13 : x
  2. Step 2: Convert to fraction form
    210,671.19/315,859.16 = 77,534.13/x
  3. Step 3: Cross multiply
    210,671.19x = 315,859.16 × 77,534.13
  4. Step 4: Simplify right side
    210,671.19x = 24,489,864,785.46
  5. Step 5: Solve for x
    x = 24,489,864,785.46/210,671.19
  6. Step 6: Final answer
    x = 116,246.86

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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.