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Finding the Fourth Proportional to 144,395.29, 216,387.59 and 68,412.84

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Solution

The fourth proportional to 144,395.29, 216,387.59 and 68,412.84 is: 102,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,395.29 : 216,387.59 = 68,412.84 : x
  2. Step 2: Convert to fraction form
    144,395.29/216,387.59 = 68,412.84/x
  3. Step 3: Cross multiply
    144,395.29x = 216,387.59 × 68,412.84
  4. Step 4: Simplify right side
    144,395.29x = 14,803,688,419.14
  5. Step 5: Solve for x
    x = 14,803,688,419.14/144,395.29
  6. Step 6: Final answer
    x = 102,521.96

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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.