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Finding the Fourth Proportional to 210,830.13, 316,287.45 and 77,710.95

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Solution

The fourth proportional to 210,830.13, 316,287.45 and 77,710.95 is: 116,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,830.13 : 316,287.45 = 77,710.95 : x
  2. Step 2: Convert to fraction form
    210,830.13/316,287.45 = 77,710.95/x
  3. Step 3: Cross multiply
    210,830.13x = 316,287.45 × 77,710.95
  4. Step 4: Simplify right side
    210,830.13x = 24,578,998,212.58
  5. Step 5: Solve for x
    x = 24,578,998,212.58/210,830.13
  6. Step 6: Final answer
    x = 116,582.00

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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.