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Finding the Fourth Proportional to 208,733.60, 312,639.60 and 84,010.40

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Solution

The fourth proportional to 208,733.60, 312,639.60 and 84,010.40 is: 125,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,733.60 : 312,639.60 = 84,010.40 : x
  2. Step 2: Convert to fraction form
    208,733.60/312,639.60 = 84,010.40/x
  3. Step 3: Cross multiply
    208,733.60x = 312,639.60 × 84,010.40
  4. Step 4: Simplify right side
    208,733.60x = 26,264,977,851.84
  5. Step 5: Solve for x
    x = 26,264,977,851.84/208,733.60
  6. Step 6: Final answer
    x = 125,830.14

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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.