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Finding the Fourth Proportional to 191,214.80, 286,822.20 and 147,064.40

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Solution

The fourth proportional to 191,214.80, 286,822.20 and 147,064.40 is: 220,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,214.80 : 286,822.20 = 147,064.40 : x
  2. Step 2: Convert to fraction form
    191,214.80/286,822.20 = 147,064.40/x
  3. Step 3: Cross multiply
    191,214.80x = 286,822.20 × 147,064.40
  4. Step 4: Simplify right side
    191,214.80x = 42,181,334,749.68
  5. Step 5: Solve for x
    x = 42,181,334,749.68/191,214.80
  6. Step 6: Final answer
    x = 220,596.60

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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.