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Finding the Fourth Proportional to 180,756.36, 249,461.37 and 105,300

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Solution

The fourth proportional to 180,756.36, 249,461.37 and 105,300 is: 145,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,756.36 : 249,461.37 = 105,300 : x
  2. Step 2: Convert to fraction form
    180,756.36/249,461.37 = 105,300/x
  3. Step 3: Cross multiply
    180,756.36x = 249,461.37 × 105,300
  4. Step 4: Simplify right side
    180,756.36x = 26,268,282,261
  5. Step 5: Solve for x
    x = 26,268,282,261/180,756.36
  6. Step 6: Final answer
    x = 145,324.25

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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.