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Finding the Fourth Proportional to 144,117, 216,024.80 and 49,315.36

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Solution

The fourth proportional to 144,117, 216,024.80 and 49,315.36 is: 73,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117 : 216,024.80 = 49,315.36 : x
  2. Step 2: Convert to fraction form
    144,117/216,024.80 = 49,315.36/x
  3. Step 3: Cross multiply
    144,117x = 216,024.80 × 49,315.36
  4. Step 4: Simplify right side
    144,117x = 10,653,340,780.93
  5. Step 5: Solve for x
    x = 10,653,340,780.93/144,117
  6. Step 6: Final answer
    x = 73,921.47

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1.5x scale

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.