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Finding the Fourth Proportional to 76,116, 114,174.36 and 20,712

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Solution

The fourth proportional to 76,116, 114,174.36 and 20,712 is: 31,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,116 : 114,174.36 = 20,712 : x
  2. Step 2: Convert to fraction form
    76,116/114,174.36 = 20,712/x
  3. Step 3: Cross multiply
    76,116x = 114,174.36 × 20,712
  4. Step 4: Simplify right side
    76,116x = 2,364,779,344.32
  5. Step 5: Solve for x
    x = 2,364,779,344.32/76,116
  6. Step 6: Final answer
    x = 31,068.10

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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.