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Finding the Fourth Proportional to 151,298.84, 208,790.64 and 83,314.40

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Solution

The fourth proportional to 151,298.84, 208,790.64 and 83,314.40 is: 114,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,298.84 : 208,790.64 = 83,314.40 : x
  2. Step 2: Convert to fraction form
    151,298.84/208,790.64 = 83,314.40/x
  3. Step 3: Cross multiply
    151,298.84x = 208,790.64 × 83,314.40
  4. Step 4: Simplify right side
    151,298.84x = 17,395,266,897.22
  5. Step 5: Solve for x
    x = 17,395,266,897.22/151,298.84
  6. Step 6: Final answer
    x = 114,972.90

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1.5x scale

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.