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Finding the Fourth Proportional to 180,509.64, 249,168.74 and 105,058.14

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Solution

The fourth proportional to 180,509.64, 249,168.74 and 105,058.14 is: 145,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.64 : 249,168.74 = 105,058.14 : x
  2. Step 2: Convert to fraction form
    180,509.64/249,168.74 = 105,058.14/x
  3. Step 3: Cross multiply
    180,509.64x = 249,168.74 × 105,058.14
  4. Step 4: Simplify right side
    180,509.64x = 26,177,203,845.25
  5. Step 5: Solve for x
    x = 26,177,203,845.25/180,509.64
  6. Step 6: Final answer
    x = 145,018.32

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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.