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Finding the Fourth Proportional to 78,457, 117,685.50 and 23,053

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Solution

The fourth proportional to 78,457, 117,685.50 and 23,053 is: 34,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457 : 117,685.50 = 23,053 : x
  2. Step 2: Convert to fraction form
    78,457/117,685.50 = 23,053/x
  3. Step 3: Cross multiply
    78,457x = 117,685.50 × 23,053
  4. Step 4: Simplify right side
    78,457x = 2,713,003,831.50
  5. Step 5: Solve for x
    x = 2,713,003,831.50/78,457
  6. Step 6: Final answer
    x = 34,579.50

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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.