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Finding the Fourth Proportional to 149,151, 205,837.32 and 85,492.92

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Solution

The fourth proportional to 149,151, 205,837.32 and 85,492.92 is: 117,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,151 : 205,837.32 = 85,492.92 : x
  2. Step 2: Convert to fraction form
    149,151/205,837.32 = 85,492.92/x
  3. Step 3: Cross multiply
    149,151x = 205,837.32 × 85,492.92
  4. Step 4: Simplify right side
    149,151x = 17,597,633,531.77
  5. Step 5: Solve for x
    x = 17,597,633,531.77/149,151
  6. Step 6: Final answer
    x = 117,985.35

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1.5x scale

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.