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Finding the Fourth Proportional to 96,201.40, 144,302.10 and 78,705.40

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Solution

The fourth proportional to 96,201.40, 144,302.10 and 78,705.40 is: 118,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,201.40 : 144,302.10 = 78,705.40 : x
  2. Step 2: Convert to fraction form
    96,201.40/144,302.10 = 78,705.40/x
  3. Step 3: Cross multiply
    96,201.40x = 144,302.10 × 78,705.40
  4. Step 4: Simplify right side
    96,201.40x = 11,357,354,501.34
  5. Step 5: Solve for x
    x = 11,357,354,501.34/96,201.40
  6. Step 6: Final answer
    x = 118,058.10

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1.5x scale

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.