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Finding the Fourth Proportional to 145,888.12, 218,642.10 and 65,866.60

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Solution

The fourth proportional to 145,888.12, 218,642.10 and 65,866.60 is: 98,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,888.12 : 218,642.10 = 65,866.60 : x
  2. Step 2: Convert to fraction form
    145,888.12/218,642.10 = 65,866.60/x
  3. Step 3: Cross multiply
    145,888.12x = 218,642.10 × 65,866.60
  4. Step 4: Simplify right side
    145,888.12x = 14,401,211,743.86
  5. Step 5: Solve for x
    x = 14,401,211,743.86/145,888.12
  6. Step 6: Final answer
    x = 98,714.08

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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.