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Finding the Fourth Proportional to 153,775.49, 212,210.31 and 85,792.48

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Solution

The fourth proportional to 153,775.49, 212,210.31 and 85,792.48 is: 118,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,775.49 : 212,210.31 = 85,792.48 : x
  2. Step 2: Convert to fraction form
    153,775.49/212,210.31 = 85,792.48/x
  3. Step 3: Cross multiply
    153,775.49x = 212,210.31 × 85,792.48
  4. Step 4: Simplify right side
    153,775.49x = 18,206,048,776.47
  5. Step 5: Solve for x
    x = 18,206,048,776.47/153,775.49
  6. Step 6: Final answer
    x = 118,393.70

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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.