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Finding the Fourth Proportional to 145,937.50, 201,393.75 and 78,869.50

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Solution

The fourth proportional to 145,937.50, 201,393.75 and 78,869.50 is: 108,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,937.50 : 201,393.75 = 78,869.50 : x
  2. Step 2: Convert to fraction form
    145,937.50/201,393.75 = 78,869.50/x
  3. Step 3: Cross multiply
    145,937.50x = 201,393.75 × 78,869.50
  4. Step 4: Simplify right side
    145,937.50x = 15,883,824,365.63
  5. Step 5: Solve for x
    x = 15,883,824,365.63/145,937.50
  6. Step 6: Final answer
    x = 108,839.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.