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Finding the Fourth Proportional to 99,886.70, 149,903.76 and 47,296.10

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Solution

The fourth proportional to 99,886.70, 149,903.76 and 47,296.10 is: 70,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,886.70 : 149,903.76 = 47,296.10 : x
  2. Step 2: Convert to fraction form
    99,886.70/149,903.76 = 47,296.10/x
  3. Step 3: Cross multiply
    99,886.70x = 149,903.76 × 47,296.10
  4. Step 4: Simplify right side
    99,886.70x = 7,089,863,223.34
  5. Step 5: Solve for x
    x = 7,089,863,223.34/99,886.70
  6. Step 6: Final answer
    x = 70,979.05

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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.