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Finding the Fourth Proportional to 130,026, 179,435.88 and 70,410

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Solution

The fourth proportional to 130,026, 179,435.88 and 70,410 is: 97,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,026 : 179,435.88 = 70,410 : x
  2. Step 2: Convert to fraction form
    130,026/179,435.88 = 70,410/x
  3. Step 3: Cross multiply
    130,026x = 179,435.88 × 70,410
  4. Step 4: Simplify right side
    130,026x = 12,634,080,310.80
  5. Step 5: Solve for x
    x = 12,634,080,310.80/130,026
  6. Step 6: Final answer
    x = 97,165.80

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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.