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Finding the Fourth Proportional to 145,977.52, 218,999.04 and 46,143.52

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Solution

The fourth proportional to 145,977.52, 218,999.04 and 46,143.52 is: 69,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,977.52 : 218,999.04 = 46,143.52 : x
  2. Step 2: Convert to fraction form
    145,977.52/218,999.04 = 46,143.52/x
  3. Step 3: Cross multiply
    145,977.52x = 218,999.04 × 46,143.52
  4. Step 4: Simplify right side
    145,977.52x = 10,105,386,582.22
  5. Step 5: Solve for x
    x = 10,105,386,582.22/145,977.52
  6. Step 6: Final answer
    x = 69,225.64

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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.