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Finding the Fourth Proportional to 78,312.32, 117,317.26 and 46,747.53

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Solution

The fourth proportional to 78,312.32, 117,317.26 and 46,747.53 is: 70,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.32 : 117,317.26 = 46,747.53 : x
  2. Step 2: Convert to fraction form
    78,312.32/117,317.26 = 46,747.53/x
  3. Step 3: Cross multiply
    78,312.32x = 117,317.26 × 46,747.53
  4. Step 4: Simplify right side
    78,312.32x = 5,484,292,131.37
  5. Step 5: Solve for x
    x = 5,484,292,131.37/78,312.32
  6. Step 6: Final answer
    x = 70,031.03

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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.