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Finding the Fourth Proportional to 210,681.08, 316,146.35 and 77,654.78

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Solution

The fourth proportional to 210,681.08, 316,146.35 and 77,654.78 is: 116,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681.08 : 316,146.35 = 77,654.78 : x
  2. Step 2: Convert to fraction form
    210,681.08/316,146.35 = 77,654.78/x
  3. Step 3: Cross multiply
    210,681.08x = 316,146.35 × 77,654.78
  4. Step 4: Simplify right side
    210,681.08x = 24,550,275,257.05
  5. Step 5: Solve for x
    x = 24,550,275,257.05/210,681.08
  6. Step 6: Final answer
    x = 116,528.14

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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.