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Finding the Fourth Proportional to 102,522.90, 153,784.35 and 76,278.90

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Solution

The fourth proportional to 102,522.90, 153,784.35 and 76,278.90 is: 114,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.90 : 153,784.35 = 76,278.90 : x
  2. Step 2: Convert to fraction form
    102,522.90/153,784.35 = 76,278.90/x
  3. Step 3: Cross multiply
    102,522.90x = 153,784.35 × 76,278.90
  4. Step 4: Simplify right side
    102,522.90x = 11,730,501,055.22
  5. Step 5: Solve for x
    x = 11,730,501,055.22/102,522.90
  6. Step 6: Final answer
    x = 114,418.35

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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.