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Finding the Fourth Proportional to 130,689.81, 180,597.11 and 106,807.77

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Solution

The fourth proportional to 130,689.81, 180,597.11 and 106,807.77 is: 147,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,689.81 : 180,597.11 = 106,807.77 : x
  2. Step 2: Convert to fraction form
    130,689.81/180,597.11 = 106,807.77/x
  3. Step 3: Cross multiply
    130,689.81x = 180,597.11 × 106,807.77
  4. Step 4: Simplify right side
    130,689.81x = 19,289,174,053.51
  5. Step 5: Solve for x
    x = 19,289,174,053.51/130,689.81
  6. Step 6: Final answer
    x = 147,595.09

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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.