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Finding the Fourth Proportional to 152,730.40, 229,117.20 and 47,538.40

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Solution

The fourth proportional to 152,730.40, 229,117.20 and 47,538.40 is: 71,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,730.40 : 229,117.20 = 47,538.40 : x
  2. Step 2: Convert to fraction form
    152,730.40/229,117.20 = 47,538.40/x
  3. Step 3: Cross multiply
    152,730.40x = 229,117.20 × 47,538.40
  4. Step 4: Simplify right side
    152,730.40x = 10,891,865,100.48
  5. Step 5: Solve for x
    x = 10,891,865,100.48/152,730.40
  6. Step 6: Final answer
    x = 71,314.32

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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.