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Finding the Fourth Proportional to 145,533.96, 218,417.85 and 75,433.32

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Solution

The fourth proportional to 145,533.96, 218,417.85 and 75,433.32 is: 113,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,533.96 : 218,417.85 = 75,433.32 : x
  2. Step 2: Convert to fraction form
    145,533.96/218,417.85 = 75,433.32/x
  3. Step 3: Cross multiply
    145,533.96x = 218,417.85 × 75,433.32
  4. Step 4: Simplify right side
    145,533.96x = 16,475,983,572.76
  5. Step 5: Solve for x
    x = 16,475,983,572.76/145,533.96
  6. Step 6: Final answer
    x = 113,210.58

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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.