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Finding the Fourth Proportional to 103,157.53, 142,404.03 and 64,973.20

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Solution

The fourth proportional to 103,157.53, 142,404.03 and 64,973.20 is: 89,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,157.53 : 142,404.03 = 64,973.20 : x
  2. Step 2: Convert to fraction form
    103,157.53/142,404.03 = 64,973.20/x
  3. Step 3: Cross multiply
    103,157.53x = 142,404.03 × 64,973.20
  4. Step 4: Simplify right side
    103,157.53x = 9,252,445,522.00
  5. Step 5: Solve for x
    x = 9,252,445,522.00/103,157.53
  6. Step 6: Final answer
    x = 89,692.39

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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.