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Finding the Fourth Proportional to 145,965, 218,947.50 and 35,157

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Solution

The fourth proportional to 145,965, 218,947.50 and 35,157 is: 52,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,965 : 218,947.50 = 35,157 : x
  2. Step 2: Convert to fraction form
    145,965/218,947.50 = 35,157/x
  3. Step 3: Cross multiply
    145,965x = 218,947.50 × 35,157
  4. Step 4: Simplify right side
    145,965x = 7,697,537,257.50
  5. Step 5: Solve for x
    x = 7,697,537,257.50/145,965
  6. Step 6: Final answer
    x = 52,735.50

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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.