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Finding the Fourth Proportional to 153,664.50, 212,057.02 and 83,008.50

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Solution

The fourth proportional to 153,664.50, 212,057.02 and 83,008.50 is: 114,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,664.50 : 212,057.02 = 83,008.50 : x
  2. Step 2: Convert to fraction form
    153,664.50/212,057.02 = 83,008.50/x
  3. Step 3: Cross multiply
    153,664.50x = 212,057.02 × 83,008.50
  4. Step 4: Simplify right side
    153,664.50x = 17,602,535,144.67
  5. Step 5: Solve for x
    x = 17,602,535,144.67/153,664.50
  6. Step 6: Final answer
    x = 114,551.74

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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.