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Finding the Fourth Proportional to 153,020.57, 229,512.57 and 40,709

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Solution

The fourth proportional to 153,020.57, 229,512.57 and 40,709 is: 61,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,020.57 : 229,512.57 = 40,709 : x
  2. Step 2: Convert to fraction form
    153,020.57/229,512.57 = 40,709/x
  3. Step 3: Cross multiply
    153,020.57x = 229,512.57 × 40,709
  4. Step 4: Simplify right side
    153,020.57x = 9,343,227,212.13
  5. Step 5: Solve for x
    x = 9,343,227,212.13/153,020.57
  6. Step 6: Final answer
    x = 61,058.64

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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.