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Finding the Fourth Proportional to 145,802.64, 218,733.12 and 45,978.24

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Solution

The fourth proportional to 145,802.64, 218,733.12 and 45,978.24 is: 68,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,802.64 : 218,733.12 = 45,978.24 : x
  2. Step 2: Convert to fraction form
    145,802.64/218,733.12 = 45,978.24/x
  3. Step 3: Cross multiply
    145,802.64x = 218,733.12 × 45,978.24
  4. Step 4: Simplify right side
    145,802.64x = 10,056,963,887.31
  5. Step 5: Solve for x
    x = 10,056,963,887.31/145,802.64
  6. Step 6: Final answer
    x = 68,976.56

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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.