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Finding the Fourth Proportional to 153,296.75, 229,975.88 and 53,430.13

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Solution

The fourth proportional to 153,296.75, 229,975.88 and 53,430.13 is: 80,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,296.75 : 229,975.88 = 53,430.13 : x
  2. Step 2: Convert to fraction form
    153,296.75/229,975.88 = 53,430.13/x
  3. Step 3: Cross multiply
    153,296.75x = 229,975.88 × 53,430.13
  4. Step 4: Simplify right side
    153,296.75x = 12,287,639,748.23
  5. Step 5: Solve for x
    x = 12,287,639,748.23/153,296.75
  6. Step 6: Final answer
    x = 80,155.91

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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.