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Finding the Fourth Proportional to 152,054, 209,841 and 84,986

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Solution

The fourth proportional to 152,054, 209,841 and 84,986 is: 117,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,054 : 209,841 = 84,986 : x
  2. Step 2: Convert to fraction form
    152,054/209,841 = 84,986/x
  3. Step 3: Cross multiply
    152,054x = 209,841 × 84,986
  4. Step 4: Simplify right side
    152,054x = 17,833,547,226
  5. Step 5: Solve for x
    x = 17,833,547,226/152,054
  6. Step 6: Final answer
    x = 117,284.30

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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.