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Finding the Fourth Proportional to 103,502.78, 142,848.96 and 58,184.50

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Solution

The fourth proportional to 103,502.78, 142,848.96 and 58,184.50 is: 80,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,502.78 : 142,848.96 = 58,184.50 : x
  2. Step 2: Convert to fraction form
    103,502.78/142,848.96 = 58,184.50/x
  3. Step 3: Cross multiply
    103,502.78x = 142,848.96 × 58,184.50
  4. Step 4: Simplify right side
    103,502.78x = 8,311,595,313.12
  5. Step 5: Solve for x
    x = 8,311,595,313.12/103,502.78
  6. Step 6: Final answer
    x = 80,303.11

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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.