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Finding the Fourth Proportional to 210,818.04, 316,269.36 and 77,698.95

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Solution

The fourth proportional to 210,818.04, 316,269.36 and 77,698.95 is: 116,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,818.04 : 316,269.36 = 77,698.95 : x
  2. Step 2: Convert to fraction form
    210,818.04/316,269.36 = 77,698.95/x
  3. Step 3: Cross multiply
    210,818.04x = 316,269.36 × 77,698.95
  4. Step 4: Simplify right side
    210,818.04x = 24,573,797,189.17
  5. Step 5: Solve for x
    x = 24,573,797,189.17/210,818.04
  6. Step 6: Final answer
    x = 116,564.02

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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.