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Finding the Fourth Proportional to 77,703.84, 116,567.28 and 28,452

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Solution

The fourth proportional to 77,703.84, 116,567.28 and 28,452 is: 42,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,703.84 : 116,567.28 = 28,452 : x
  2. Step 2: Convert to fraction form
    77,703.84/116,567.28 = 28,452/x
  3. Step 3: Cross multiply
    77,703.84x = 116,567.28 × 28,452
  4. Step 4: Simplify right side
    77,703.84x = 3,316,572,250.56
  5. Step 5: Solve for x
    x = 3,316,572,250.56/77,703.84
  6. Step 6: Final answer
    x = 42,682.22

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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.