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Finding the Fourth Proportional to 85,851.40, 128,782.88 and 29,696.94

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Solution

The fourth proportional to 85,851.40, 128,782.88 and 29,696.94 is: 44,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851.40 : 128,782.88 = 29,696.94 : x
  2. Step 2: Convert to fraction form
    85,851.40/128,782.88 = 29,696.94/x
  3. Step 3: Cross multiply
    85,851.40x = 128,782.88 × 29,696.94
  4. Step 4: Simplify right side
    85,851.40x = 3,824,457,460.39
  5. Step 5: Solve for x
    x = 3,824,457,460.39/85,851.40
  6. Step 6: Final answer
    x = 44,547.41

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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.