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Finding the Fourth Proportional to 114,043, 157,384.20 and 63,742

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Solution

The fourth proportional to 114,043, 157,384.20 and 63,742 is: 87,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,043 : 157,384.20 = 63,742 : x
  2. Step 2: Convert to fraction form
    114,043/157,384.20 = 63,742/x
  3. Step 3: Cross multiply
    114,043x = 157,384.20 × 63,742
  4. Step 4: Simplify right side
    114,043x = 10,031,983,676.40
  5. Step 5: Solve for x
    x = 10,031,983,676.40/114,043
  6. Step 6: Final answer
    x = 87,966.68

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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.