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Finding the Fourth Proportional to 76,030.32, 114,051.86 and 28,012

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Solution

The fourth proportional to 76,030.32, 114,051.86 and 28,012 is: 42,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,030.32 : 114,051.86 = 28,012 : x
  2. Step 2: Convert to fraction form
    76,030.32/114,051.86 = 28,012/x
  3. Step 3: Cross multiply
    76,030.32x = 114,051.86 × 28,012
  4. Step 4: Simplify right side
    76,030.32x = 3,194,820,702.32
  5. Step 5: Solve for x
    x = 3,194,820,702.32/76,030.32
  6. Step 6: Final answer
    x = 42,020.35

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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.