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Finding the Fourth Proportional to 144,474.36, 216,417.78 and 117,915

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Solution

The fourth proportional to 144,474.36, 216,417.78 and 117,915 is: 176,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,474.36 : 216,417.78 = 117,915 : x
  2. Step 2: Convert to fraction form
    144,474.36/216,417.78 = 117,915/x
  3. Step 3: Cross multiply
    144,474.36x = 216,417.78 × 117,915
  4. Step 4: Simplify right side
    144,474.36x = 25,518,902,528.70
  5. Step 5: Solve for x
    x = 25,518,902,528.70/144,474.36
  6. Step 6: Final answer
    x = 176,632.74

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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.