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Finding the Fourth Proportional to 145,430.64, 217,922.40 and 86,148.36

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Solution

The fourth proportional to 145,430.64, 217,922.40 and 86,148.36 is: 129,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,430.64 : 217,922.40 = 86,148.36 : x
  2. Step 2: Convert to fraction form
    145,430.64/217,922.40 = 86,148.36/x
  3. Step 3: Cross multiply
    145,430.64x = 217,922.40 × 86,148.36
  4. Step 4: Simplify right side
    145,430.64x = 18,773,657,367.26
  5. Step 5: Solve for x
    x = 18,773,657,367.26/145,430.64
  6. Step 6: Final answer
    x = 129,090.11

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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.