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Finding the Fourth Proportional to 102,189.78, 153,284.71 and 48,869.15

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Solution

The fourth proportional to 102,189.78, 153,284.71 and 48,869.15 is: 73,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189.78 : 153,284.71 = 48,869.15 : x
  2. Step 2: Convert to fraction form
    102,189.78/153,284.71 = 48,869.15/x
  3. Step 3: Cross multiply
    102,189.78x = 153,284.71 × 48,869.15
  4. Step 4: Simplify right side
    102,189.78x = 7,490,893,485.70
  5. Step 5: Solve for x
    x = 7,490,893,485.70/102,189.78
  6. Step 6: Final answer
    x = 73,303.75

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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.