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Finding the Fourth Proportional to 70,875, 97,807.50 and 39,043.80

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Solution

The fourth proportional to 70,875, 97,807.50 and 39,043.80 is: 53,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,875 : 97,807.50 = 39,043.80 : x
  2. Step 2: Convert to fraction form
    70,875/97,807.50 = 39,043.80/x
  3. Step 3: Cross multiply
    70,875x = 97,807.50 × 39,043.80
  4. Step 4: Simplify right side
    70,875x = 3,818,776,468.50
  5. Step 5: Solve for x
    x = 3,818,776,468.50/70,875
  6. Step 6: Final answer
    x = 53,880.44

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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.