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Finding the Fourth Proportional to 158,495.40, 218,746.08 and 98,085.50

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Solution

The fourth proportional to 158,495.40, 218,746.08 and 98,085.50 is: 135,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,495.40 : 218,746.08 = 98,085.50 : x
  2. Step 2: Convert to fraction form
    158,495.40/218,746.08 = 98,085.50/x
  3. Step 3: Cross multiply
    158,495.40x = 218,746.08 × 98,085.50
  4. Step 4: Simplify right side
    158,495.40x = 21,455,817,045.68
  5. Step 5: Solve for x
    x = 21,455,817,045.68/158,495.40
  6. Step 6: Final answer
    x = 135,371.86

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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.