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Finding the Fourth Proportional to 96,800.40, 145,006.20 and 65,307.60

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Solution

The fourth proportional to 96,800.40, 145,006.20 and 65,307.60 is: 97,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,800.40 : 145,006.20 = 65,307.60 : x
  2. Step 2: Convert to fraction form
    96,800.40/145,006.20 = 65,307.60/x
  3. Step 3: Cross multiply
    96,800.40x = 145,006.20 × 65,307.60
  4. Step 4: Simplify right side
    96,800.40x = 9,470,006,907.12
  5. Step 5: Solve for x
    x = 9,470,006,907.12/96,800.40
  6. Step 6: Final answer
    x = 97,830.25

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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.