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Finding the Fourth Proportional to 120,587.98, 180,779.90 and 45,666.82

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Solution

The fourth proportional to 120,587.98, 180,779.90 and 45,666.82 is: 68,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,587.98 : 180,779.90 = 45,666.82 : x
  2. Step 2: Convert to fraction form
    120,587.98/180,779.90 = 45,666.82/x
  3. Step 3: Cross multiply
    120,587.98x = 180,779.90 × 45,666.82
  4. Step 4: Simplify right side
    120,587.98x = 8,255,643,152.92
  5. Step 5: Solve for x
    x = 8,255,643,152.92/120,587.98
  6. Step 6: Final answer
    x = 68,461.58

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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.