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Finding the Fourth Proportional to 153,471.42, 211,741.83 and 86,390.46

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Solution

The fourth proportional to 153,471.42, 211,741.83 and 86,390.46 is: 119,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471.42 : 211,741.83 = 86,390.46 : x
  2. Step 2: Convert to fraction form
    153,471.42/211,741.83 = 86,390.46/x
  3. Step 3: Cross multiply
    153,471.42x = 211,741.83 × 86,390.46
  4. Step 4: Simplify right side
    153,471.42x = 18,292,474,094.94
  5. Step 5: Solve for x
    x = 18,292,474,094.94/153,471.42
  6. Step 6: Final answer
    x = 119,191.40

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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.