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Finding the Fourth Proportional to 145,985.80, 219,051.60 and 82,854.40

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Solution

The fourth proportional to 145,985.80, 219,051.60 and 82,854.40 is: 124,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,985.80 : 219,051.60 = 82,854.40 : x
  2. Step 2: Convert to fraction form
    145,985.80/219,051.60 = 82,854.40/x
  3. Step 3: Cross multiply
    145,985.80x = 219,051.60 × 82,854.40
  4. Step 4: Simplify right side
    145,985.80x = 18,149,388,887.04
  5. Step 5: Solve for x
    x = 18,149,388,887.04/145,985.80
  6. Step 6: Final answer
    x = 124,322.97

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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.