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Finding the Fourth Proportional to 109,807.20, 164,710.80 and 39,688.80

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Solution

The fourth proportional to 109,807.20, 164,710.80 and 39,688.80 is: 59,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,807.20 : 164,710.80 = 39,688.80 : x
  2. Step 2: Convert to fraction form
    109,807.20/164,710.80 = 39,688.80/x
  3. Step 3: Cross multiply
    109,807.20x = 164,710.80 × 39,688.80
  4. Step 4: Simplify right side
    109,807.20x = 6,537,173,999.04
  5. Step 5: Solve for x
    x = 6,537,173,999.04/109,807.20
  6. Step 6: Final answer
    x = 59,533.20

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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.