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Finding the Fourth Proportional to 145,383, 218,074.50 and 38,767.32

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Solution

The fourth proportional to 145,383, 218,074.50 and 38,767.32 is: 58,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,383 : 218,074.50 = 38,767.32 : x
  2. Step 2: Convert to fraction form
    145,383/218,074.50 = 38,767.32/x
  3. Step 3: Cross multiply
    145,383x = 218,074.50 × 38,767.32
  4. Step 4: Simplify right side
    145,383x = 8,454,163,925.34
  5. Step 5: Solve for x
    x = 8,454,163,925.34/145,383
  6. Step 6: Final answer
    x = 58,150.98

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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.