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Finding the Fourth Proportional to 102,424.40, 153,643.80 and 58,072.40

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Solution

The fourth proportional to 102,424.40, 153,643.80 and 58,072.40 is: 87,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424.40 : 153,643.80 = 58,072.40 : x
  2. Step 2: Convert to fraction form
    102,424.40/153,643.80 = 58,072.40/x
  3. Step 3: Cross multiply
    102,424.40x = 153,643.80 × 58,072.40
  4. Step 4: Simplify right side
    102,424.40x = 8,922,464,211.12
  5. Step 5: Solve for x
    x = 8,922,464,211.12/102,424.40
  6. Step 6: Final answer
    x = 87,112.68

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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.