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Finding the Fourth Proportional to 153,064.64, 229,614.16 and 40,749.24

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Solution

The fourth proportional to 153,064.64, 229,614.16 and 40,749.24 is: 61,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,064.64 : 229,614.16 = 40,749.24 : x
  2. Step 2: Convert to fraction form
    153,064.64/229,614.16 = 40,749.24/x
  3. Step 3: Cross multiply
    153,064.64x = 229,614.16 × 40,749.24
  4. Step 4: Simplify right side
    153,064.64x = 9,356,602,513.24
  5. Step 5: Solve for x
    x = 9,356,602,513.24/153,064.64
  6. Step 6: Final answer
    x = 61,128.44

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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.