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Finding the Fourth Proportional to 75,312, 112,985.36 and 26,064

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Solution

The fourth proportional to 75,312, 112,985.36 and 26,064 is: 39,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312 : 112,985.36 = 26,064 : x
  2. Step 2: Convert to fraction form
    75,312/112,985.36 = 26,064/x
  3. Step 3: Cross multiply
    75,312x = 112,985.36 × 26,064
  4. Step 4: Simplify right side
    75,312x = 2,944,850,423.04
  5. Step 5: Solve for x
    x = 2,944,850,423.04/75,312
  6. Step 6: Final answer
    x = 39,102.01

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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.