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Finding the Fourth Proportional to 130,491, 180,077.76 and 70,875

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Solution

The fourth proportional to 130,491, 180,077.76 and 70,875 is: 97,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,491 : 180,077.76 = 70,875 : x
  2. Step 2: Convert to fraction form
    130,491/180,077.76 = 70,875/x
  3. Step 3: Cross multiply
    130,491x = 180,077.76 × 70,875
  4. Step 4: Simplify right side
    130,491x = 12,763,011,240
  5. Step 5: Solve for x
    x = 12,763,011,240/130,491
  6. Step 6: Final answer
    x = 97,807.60

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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.