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Finding the Fourth Proportional to 142,642.10, 213,842.73 and 89,935.40

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Solution

The fourth proportional to 142,642.10, 213,842.73 and 89,935.40 is: 134,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642.10 : 213,842.73 = 89,935.40 : x
  2. Step 2: Convert to fraction form
    142,642.10/213,842.73 = 89,935.40/x
  3. Step 3: Cross multiply
    142,642.10x = 213,842.73 × 89,935.40
  4. Step 4: Simplify right side
    142,642.10x = 19,232,031,459.64
  5. Step 5: Solve for x
    x = 19,232,031,459.64/142,642.10
  6. Step 6: Final answer
    x = 134,827.18

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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.