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Finding the Fourth Proportional to 97,830.40, 147,058.80 and 90,896.80

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Solution

The fourth proportional to 97,830.40, 147,058.80 and 90,896.80 is: 136,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830.40 : 147,058.80 = 90,896.80 : x
  2. Step 2: Convert to fraction form
    97,830.40/147,058.80 = 90,896.80/x
  3. Step 3: Cross multiply
    97,830.40x = 147,058.80 × 90,896.80
  4. Step 4: Simplify right side
    97,830.40x = 13,367,174,331.84
  5. Step 5: Solve for x
    x = 13,367,174,331.84/97,830.40
  6. Step 6: Final answer
    x = 136,636.20

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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.