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Finding the Fourth Proportional to 130,483.63, 180,064.31 and 76,772.06

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Solution

The fourth proportional to 130,483.63, 180,064.31 and 76,772.06 is: 105,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,483.63 : 180,064.31 = 76,772.06 : x
  2. Step 2: Convert to fraction form
    130,483.63/180,064.31 = 76,772.06/x
  3. Step 3: Cross multiply
    130,483.63x = 180,064.31 × 76,772.06
  4. Step 4: Simplify right side
    130,483.63x = 13,823,908,011.18
  5. Step 5: Solve for x
    x = 13,823,908,011.18/130,483.63
  6. Step 6: Final answer
    x = 105,943.62

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1.5x scale

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.