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Finding the Fourth Proportional to 140,480.64, 210,721.14 and 57,374.64

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Solution

The fourth proportional to 140,480.64, 210,721.14 and 57,374.64 is: 86,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,480.64 : 210,721.14 = 57,374.64 : x
  2. Step 2: Convert to fraction form
    140,480.64/210,721.14 = 57,374.64/x
  3. Step 3: Cross multiply
    140,480.64x = 210,721.14 × 57,374.64
  4. Step 4: Simplify right side
    140,480.64x = 12,090,049,547.89
  5. Step 5: Solve for x
    x = 12,090,049,547.89/140,480.64
  6. Step 6: Final answer
    x = 86,062.03

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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.