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Finding the Fourth Proportional to 157,224.32, 216,973.76 and 85,607.36

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Solution

The fourth proportional to 157,224.32, 216,973.76 and 85,607.36 is: 118,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.32 : 216,973.76 = 85,607.36 : x
  2. Step 2: Convert to fraction form
    157,224.32/216,973.76 = 85,607.36/x
  3. Step 3: Cross multiply
    157,224.32x = 216,973.76 × 85,607.36
  4. Step 4: Simplify right side
    157,224.32x = 18,574,550,782.87
  5. Step 5: Solve for x
    x = 18,574,550,782.87/157,224.32
  6. Step 6: Final answer
    x = 118,140.44

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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.