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Finding the Fourth Proportional to 114,785.40, 172,178.10 and 83,681.40

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Solution

The fourth proportional to 114,785.40, 172,178.10 and 83,681.40 is: 125,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,785.40 : 172,178.10 = 83,681.40 : x
  2. Step 2: Convert to fraction form
    114,785.40/172,178.10 = 83,681.40/x
  3. Step 3: Cross multiply
    114,785.40x = 172,178.10 × 83,681.40
  4. Step 4: Simplify right side
    114,785.40x = 14,408,104,457.34
  5. Step 5: Solve for x
    x = 14,408,104,457.34/114,785.40
  6. Step 6: Final answer
    x = 125,522.10

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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.