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Finding the Fourth Proportional to 90,702.93, 135,903.74 and 31,506.51

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Solution

The fourth proportional to 90,702.93, 135,903.74 and 31,506.51 is: 47,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702.93 : 135,903.74 = 31,506.51 : x
  2. Step 2: Convert to fraction form
    90,702.93/135,903.74 = 31,506.51/x
  3. Step 3: Cross multiply
    90,702.93x = 135,903.74 × 31,506.51
  4. Step 4: Simplify right side
    90,702.93x = 4,281,852,385.81
  5. Step 5: Solve for x
    x = 4,281,852,385.81/90,702.93
  6. Step 6: Final answer
    x = 47,207.43

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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.