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Finding the Fourth Proportional to 75,109.77, 112,657.35 and 19,705.77

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Solution

The fourth proportional to 75,109.77, 112,657.35 and 19,705.77 is: 29,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.77 : 112,657.35 = 19,705.77 : x
  2. Step 2: Convert to fraction form
    75,109.77/112,657.35 = 19,705.77/x
  3. Step 3: Cross multiply
    75,109.77x = 112,657.35 × 19,705.77
  4. Step 4: Simplify right side
    75,109.77x = 2,219,999,827.91
  5. Step 5: Solve for x
    x = 2,219,999,827.91/75,109.77
  6. Step 6: Final answer
    x = 29,556.74

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1.5x scale

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.