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Finding the Fourth Proportional to 210,904.20, 316,384.05 and 77,877.90

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Solution

The fourth proportional to 210,904.20, 316,384.05 and 77,877.90 is: 116,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,904.20 : 316,384.05 = 77,877.90 : x
  2. Step 2: Convert to fraction form
    210,904.20/316,384.05 = 77,877.90/x
  3. Step 3: Cross multiply
    210,904.20x = 316,384.05 × 77,877.90
  4. Step 4: Simplify right side
    210,904.20x = 24,639,325,407.50
  5. Step 5: Solve for x
    x = 24,639,325,407.50/210,904.20
  6. Step 6: Final answer
    x = 116,827.10

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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.