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Finding the Fourth Proportional to 96,840.80, 145,312.80 and 37,678.40

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Solution

The fourth proportional to 96,840.80, 145,312.80 and 37,678.40 is: 56,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,840.80 : 145,312.80 = 37,678.40 : x
  2. Step 2: Convert to fraction form
    96,840.80/145,312.80 = 37,678.40/x
  3. Step 3: Cross multiply
    96,840.80x = 145,312.80 × 37,678.40
  4. Step 4: Simplify right side
    96,840.80x = 5,475,153,803.52
  5. Step 5: Solve for x
    x = 5,475,153,803.52/96,840.80
  6. Step 6: Final answer
    x = 56,537.68

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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.