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Finding the Fourth Proportional to 231,859.60, 348,211.80 and 138,547.60

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Solution

The fourth proportional to 231,859.60, 348,211.80 and 138,547.60 is: 208,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,859.60 : 348,211.80 = 138,547.60 : x
  2. Step 2: Convert to fraction form
    231,859.60/348,211.80 = 138,547.60/x
  3. Step 3: Cross multiply
    231,859.60x = 348,211.80 × 138,547.60
  4. Step 4: Simplify right side
    231,859.60x = 48,243,909,181.68
  5. Step 5: Solve for x
    x = 48,243,909,181.68/231,859.60
  6. Step 6: Final answer
    x = 208,073.80

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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.