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Finding the Fourth Proportional to 180,986.64, 249,756.80 and 99,314.64

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Solution

The fourth proportional to 180,986.64, 249,756.80 and 99,314.64 is: 137,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,986.64 : 249,756.80 = 99,314.64 : x
  2. Step 2: Convert to fraction form
    180,986.64/249,756.80 = 99,314.64/x
  3. Step 3: Cross multiply
    180,986.64x = 249,756.80 × 99,314.64
  4. Step 4: Simplify right side
    180,986.64x = 24,804,506,679.55
  5. Step 5: Solve for x
    x = 24,804,506,679.55/180,986.64
  6. Step 6: Final answer
    x = 137,051.59

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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.