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Finding the Fourth Proportional to 142,987.42, 214,482.65 and 43,148.49

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Solution

The fourth proportional to 142,987.42, 214,482.65 and 43,148.49 is: 64,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,987.42 : 214,482.65 = 43,148.49 : x
  2. Step 2: Convert to fraction form
    142,987.42/214,482.65 = 43,148.49/x
  3. Step 3: Cross multiply
    142,987.42x = 214,482.65 × 43,148.49
  4. Step 4: Simplify right side
    142,987.42x = 9,254,602,262.96
  5. Step 5: Solve for x
    x = 9,254,602,262.96/142,987.42
  6. Step 6: Final answer
    x = 64,723.19

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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.