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Finding the Fourth Proportional to 151,381.44, 208,903.68 and 84,312

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Solution

The fourth proportional to 151,381.44, 208,903.68 and 84,312 is: 116,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,381.44 : 208,903.68 = 84,312 : x
  2. Step 2: Convert to fraction form
    151,381.44/208,903.68 = 84,312/x
  3. Step 3: Cross multiply
    151,381.44x = 208,903.68 × 84,312
  4. Step 4: Simplify right side
    151,381.44x = 17,613,087,068.16
  5. Step 5: Solve for x
    x = 17,613,087,068.16/151,381.44
  6. Step 6: Final answer
    x = 116,349.05

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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.