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Finding the Fourth Proportional to 201,877.80, 302,707.35 and 83,415.30

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Solution

The fourth proportional to 201,877.80, 302,707.35 and 83,415.30 is: 125,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,877.80 : 302,707.35 = 83,415.30 : x
  2. Step 2: Convert to fraction form
    201,877.80/302,707.35 = 83,415.30/x
  3. Step 3: Cross multiply
    201,877.80x = 302,707.35 × 83,415.30
  4. Step 4: Simplify right side
    201,877.80x = 25,250,424,412.46
  5. Step 5: Solve for x
    x = 25,250,424,412.46/201,877.80
  6. Step 6: Final answer
    x = 125,077.77

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1.5x scale

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.