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Finding the Fourth Proportional to 144,624.80, 216,872.40 and 65,698.40

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Solution

The fourth proportional to 144,624.80, 216,872.40 and 65,698.40 is: 98,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,624.80 : 216,872.40 = 65,698.40 : x
  2. Step 2: Convert to fraction form
    144,624.80/216,872.40 = 65,698.40/x
  3. Step 3: Cross multiply
    144,624.80x = 216,872.40 × 65,698.40
  4. Step 4: Simplify right side
    144,624.80x = 14,248,169,684.16
  5. Step 5: Solve for x
    x = 14,248,169,684.16/144,624.80
  6. Step 6: Final answer
    x = 98,518.16

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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.