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Finding the Fourth Proportional to 103,459.50, 142,774.26 and 58,747.50

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Solution

The fourth proportional to 103,459.50, 142,774.26 and 58,747.50 is: 81,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,459.50 : 142,774.26 = 58,747.50 : x
  2. Step 2: Convert to fraction form
    103,459.50/142,774.26 = 58,747.50/x
  3. Step 3: Cross multiply
    103,459.50x = 142,774.26 × 58,747.50
  4. Step 4: Simplify right side
    103,459.50x = 8,387,630,839.35
  5. Step 5: Solve for x
    x = 8,387,630,839.35/103,459.50
  6. Step 6: Final answer
    x = 81,071.64

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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.