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Finding the Fourth Proportional to 144,535.76, 216,623.16 and 69,642.08

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Solution

The fourth proportional to 144,535.76, 216,623.16 and 69,642.08 is: 104,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,535.76 : 216,623.16 = 69,642.08 : x
  2. Step 2: Convert to fraction form
    144,535.76/216,623.16 = 69,642.08/x
  3. Step 3: Cross multiply
    144,535.76x = 216,623.16 × 69,642.08
  4. Step 4: Simplify right side
    144,535.76x = 15,086,087,438.57
  5. Step 5: Solve for x
    x = 15,086,087,438.57/144,535.76
  6. Step 6: Final answer
    x = 104,376.16

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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.