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Finding the Fourth Proportional to 202,877.84, 304,388.80 and 90,547.84

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Solution

The fourth proportional to 202,877.84, 304,388.80 and 90,547.84 is: 135,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877.84 : 304,388.80 = 90,547.84 : x
  2. Step 2: Convert to fraction form
    202,877.84/304,388.80 = 90,547.84/x
  3. Step 3: Cross multiply
    202,877.84x = 304,388.80 × 90,547.84
  4. Step 4: Simplify right side
    202,877.84x = 27,561,748,360.19
  5. Step 5: Solve for x
    x = 27,561,748,360.19/202,877.84
  6. Step 6: Final answer
    x = 135,853.91

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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.