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Finding the Fourth Proportional to 153,642, 230,254.02 and 90,491.16

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Solution

The fourth proportional to 153,642, 230,254.02 and 90,491.16 is: 135,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,642 : 230,254.02 = 90,491.16 : x
  2. Step 2: Convert to fraction form
    153,642/230,254.02 = 90,491.16/x
  3. Step 3: Cross multiply
    153,642x = 230,254.02 × 90,491.16
  4. Step 4: Simplify right side
    153,642x = 20,835,953,364.46
  5. Step 5: Solve for x
    x = 20,835,953,364.46/153,642
  6. Step 6: Final answer
    x = 135,613.66

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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.