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Finding the Fourth Proportional to 185,776.60, 278,751.30 and 97,130.20

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Solution

The fourth proportional to 185,776.60, 278,751.30 and 97,130.20 is: 145,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,776.60 : 278,751.30 = 97,130.20 : x
  2. Step 2: Convert to fraction form
    185,776.60/278,751.30 = 97,130.20/x
  3. Step 3: Cross multiply
    185,776.60x = 278,751.30 × 97,130.20
  4. Step 4: Simplify right side
    185,776.60x = 27,075,169,519.26
  5. Step 5: Solve for x
    x = 27,075,169,519.26/185,776.60
  6. Step 6: Final answer
    x = 145,740.47

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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.