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Finding the Fourth Proportional to 152,466, 210,403.08 and 85,398

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Solution

The fourth proportional to 152,466, 210,403.08 and 85,398 is: 117,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,466 : 210,403.08 = 85,398 : x
  2. Step 2: Convert to fraction form
    152,466/210,403.08 = 85,398/x
  3. Step 3: Cross multiply
    152,466x = 210,403.08 × 85,398
  4. Step 4: Simplify right side
    152,466x = 17,968,002,225.84
  5. Step 5: Solve for x
    x = 17,968,002,225.84/152,466
  6. Step 6: Final answer
    x = 117,849.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.