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Finding the Fourth Proportional to 57,312, 85,916.16 and 29,216.34

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Solution

The fourth proportional to 57,312, 85,916.16 and 29,216.34 is: 43,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,312 : 85,916.16 = 29,216.34 : x
  2. Step 2: Convert to fraction form
    57,312/85,916.16 = 29,216.34/x
  3. Step 3: Cross multiply
    57,312x = 85,916.16 × 29,216.34
  4. Step 4: Simplify right side
    57,312x = 2,510,155,742.05
  5. Step 5: Solve for x
    x = 2,510,155,742.05/57,312
  6. Step 6: Final answer
    x = 43,798.08

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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.