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Finding the Fourth Proportional to 180,973.93, 249,745.53 and 100,406.74

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Solution

The fourth proportional to 180,973.93, 249,745.53 and 100,406.74 is: 138,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,973.93 : 249,745.53 = 100,406.74 : x
  2. Step 2: Convert to fraction form
    180,973.93/249,745.53 = 100,406.74/x
  3. Step 3: Cross multiply
    180,973.93x = 249,745.53 × 100,406.74
  4. Step 4: Simplify right side
    180,973.93x = 25,076,134,496.87
  5. Step 5: Solve for x
    x = 25,076,134,496.87/180,973.93
  6. Step 6: Final answer
    x = 138,562.14

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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.