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Finding the Fourth Proportional to 110,430, 152,393.40 and 65,718

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Solution

The fourth proportional to 110,430, 152,393.40 and 65,718 is: 90,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,430 : 152,393.40 = 65,718 : x
  2. Step 2: Convert to fraction form
    110,430/152,393.40 = 65,718/x
  3. Step 3: Cross multiply
    110,430x = 152,393.40 × 65,718
  4. Step 4: Simplify right side
    110,430x = 10,014,989,461.20
  5. Step 5: Solve for x
    x = 10,014,989,461.20/110,430
  6. Step 6: Final answer
    x = 90,690.84

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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.