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Finding the Fourth Proportional to 153,564.94, 211,926.16 and 85,582

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Solution

The fourth proportional to 153,564.94, 211,926.16 and 85,582 is: 118,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,564.94 : 211,926.16 = 85,582 : x
  2. Step 2: Convert to fraction form
    153,564.94/211,926.16 = 85,582/x
  3. Step 3: Cross multiply
    153,564.94x = 211,926.16 × 85,582
  4. Step 4: Simplify right side
    153,564.94x = 18,137,064,625.12
  5. Step 5: Solve for x
    x = 18,137,064,625.12/153,564.94
  6. Step 6: Final answer
    x = 118,106.81

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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.