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Finding the Fourth Proportional to 76,500.90, 105,567.80 and 42,511.77

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Solution

The fourth proportional to 76,500.90, 105,567.80 and 42,511.77 is: 58,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500.90 : 105,567.80 = 42,511.77 : x
  2. Step 2: Convert to fraction form
    76,500.90/105,567.80 = 42,511.77/x
  3. Step 3: Cross multiply
    76,500.90x = 105,567.80 × 42,511.77
  4. Step 4: Simplify right side
    76,500.90x = 4,487,873,820.45
  5. Step 5: Solve for x
    x = 4,487,873,820.45/76,500.90
  6. Step 6: Final answer
    x = 58,664.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.