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Finding the Fourth Proportional to 102,521.90, 153,807.15 and 52,609.70

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Solution

The fourth proportional to 102,521.90, 153,807.15 and 52,609.70 is: 78,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521.90 : 153,807.15 = 52,609.70 : x
  2. Step 2: Convert to fraction form
    102,521.90/153,807.15 = 52,609.70/x
  3. Step 3: Cross multiply
    102,521.90x = 153,807.15 × 52,609.70
  4. Step 4: Simplify right side
    102,521.90x = 8,091,748,019.36
  5. Step 5: Solve for x
    x = 8,091,748,019.36/102,521.90
  6. Step 6: Final answer
    x = 78,927.02

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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.