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Finding the Fourth Proportional to 144,041.76, 216,342.72 and 117,407.28

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Solution

The fourth proportional to 144,041.76, 216,342.72 and 117,407.28 is: 176,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,041.76 : 216,342.72 = 117,407.28 : x
  2. Step 2: Convert to fraction form
    144,041.76/216,342.72 = 117,407.28/x
  3. Step 3: Cross multiply
    144,041.76x = 216,342.72 × 117,407.28
  4. Step 4: Simplify right side
    144,041.76x = 25,400,211,114.29
  5. Step 5: Solve for x
    x = 25,400,211,114.29/144,041.76
  6. Step 6: Final answer
    x = 176,339.22

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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.