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Finding the Fourth Proportional to 151,374, 208,902.60 and 84,306

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Solution

The fourth proportional to 151,374, 208,902.60 and 84,306 is: 116,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,374 : 208,902.60 = 84,306 : x
  2. Step 2: Convert to fraction form
    151,374/208,902.60 = 84,306/x
  3. Step 3: Cross multiply
    151,374x = 208,902.60 × 84,306
  4. Step 4: Simplify right side
    151,374x = 17,611,742,595.60
  5. Step 5: Solve for x
    x = 17,611,742,595.60/151,374
  6. Step 6: Final answer
    x = 116,345.89

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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.