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Finding the Fourth Proportional to 140,657.64, 210,985.80 and 57,551.64

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Solution

The fourth proportional to 140,657.64, 210,985.80 and 57,551.64 is: 86,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,657.64 : 210,985.80 = 57,551.64 : x
  2. Step 2: Convert to fraction form
    140,657.64/210,985.80 = 57,551.64/x
  3. Step 3: Cross multiply
    140,657.64x = 210,985.80 × 57,551.64
  4. Step 4: Simplify right side
    140,657.64x = 12,142,578,806.71
  5. Step 5: Solve for x
    x = 12,142,578,806.71/140,657.64
  6. Step 6: Final answer
    x = 86,327.19

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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.