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Finding the Fourth Proportional to 78,454, 117,681 and 23,050

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Solution

The fourth proportional to 78,454, 117,681 and 23,050 is: 34,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454 : 117,681 = 23,050 : x
  2. Step 2: Convert to fraction form
    78,454/117,681 = 23,050/x
  3. Step 3: Cross multiply
    78,454x = 117,681 × 23,050
  4. Step 4: Simplify right side
    78,454x = 2,712,547,050
  5. Step 5: Solve for x
    x = 2,712,547,050/78,454
  6. Step 6: Final answer
    x = 34,575

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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.