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Finding the Fourth Proportional to 126,686.25, 174,784.57 and 72,970.02

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Solution

The fourth proportional to 126,686.25, 174,784.57 and 72,970.02 is: 100,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,686.25 : 174,784.57 = 72,970.02 : x
  2. Step 2: Convert to fraction form
    126,686.25/174,784.57 = 72,970.02/x
  3. Step 3: Cross multiply
    126,686.25x = 174,784.57 × 72,970.02
  4. Step 4: Simplify right side
    126,686.25x = 12,754,033,386.17
  5. Step 5: Solve for x
    x = 12,754,033,386.17/126,686.25
  6. Step 6: Final answer
    x = 100,674.17

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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.