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Finding the Fourth Proportional to 138,705.16, 191,411.76 and 75,041.60

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Solution

The fourth proportional to 138,705.16, 191,411.76 and 75,041.60 is: 103,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.16 : 191,411.76 = 75,041.60 : x
  2. Step 2: Convert to fraction form
    138,705.16/191,411.76 = 75,041.60/x
  3. Step 3: Cross multiply
    138,705.16x = 191,411.76 × 75,041.60
  4. Step 4: Simplify right side
    138,705.16x = 14,363,844,729.22
  5. Step 5: Solve for x
    x = 14,363,844,729.22/138,705.16
  6. Step 6: Final answer
    x = 103,556.67

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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.