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Finding the Fourth Proportional to 85,658.40, 128,492.64 and 33,068.16

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Solution

The fourth proportional to 85,658.40, 128,492.64 and 33,068.16 is: 49,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,658.40 : 128,492.64 = 33,068.16 : x
  2. Step 2: Convert to fraction form
    85,658.40/128,492.64 = 33,068.16/x
  3. Step 3: Cross multiply
    85,658.40x = 128,492.64 × 33,068.16
  4. Step 4: Simplify right side
    85,658.40x = 4,249,015,178.34
  5. Step 5: Solve for x
    x = 4,249,015,178.34/85,658.40
  6. Step 6: Final answer
    x = 49,604.19

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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.