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Finding the Fourth Proportional to 120,547.92, 166,352.47 and 66,829.80

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Solution

The fourth proportional to 120,547.92, 166,352.47 and 66,829.80 is: 92,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.92 : 166,352.47 = 66,829.80 : x
  2. Step 2: Convert to fraction form
    120,547.92/166,352.47 = 66,829.80/x
  3. Step 3: Cross multiply
    120,547.92x = 166,352.47 × 66,829.80
  4. Step 4: Simplify right side
    120,547.92x = 11,117,302,299.61
  5. Step 5: Solve for x
    x = 11,117,302,299.61/120,547.92
  6. Step 6: Final answer
    x = 92,223.10

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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.