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Finding the Fourth Proportional to 521,102.60, 781,697.10 and 166,106.60

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Solution

The fourth proportional to 521,102.60, 781,697.10 and 166,106.60 is: 249,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,102.60 : 781,697.10 = 166,106.60 : x
  2. Step 2: Convert to fraction form
    521,102.60/781,697.10 = 166,106.60/x
  3. Step 3: Cross multiply
    521,102.60x = 781,697.10 × 166,106.60
  4. Step 4: Simplify right side
    521,102.60x = 129,845,047,510.86
  5. Step 5: Solve for x
    x = 129,845,047,510.86/521,102.60
  6. Step 6: Final answer
    x = 249,173.67

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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.