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Finding the Fourth Proportional to 145,503.90, 200,779.11 and 81,840.30

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Solution

The fourth proportional to 145,503.90, 200,779.11 and 81,840.30 is: 112,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,503.90 : 200,779.11 = 81,840.30 : x
  2. Step 2: Convert to fraction form
    145,503.90/200,779.11 = 81,840.30/x
  3. Step 3: Cross multiply
    145,503.90x = 200,779.11 × 81,840.30
  4. Step 4: Simplify right side
    145,503.90x = 16,431,822,596.13
  5. Step 5: Solve for x
    x = 16,431,822,596.13/145,503.90
  6. Step 6: Final answer
    x = 112,930.46

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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.