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Finding the Fourth Proportional to 161,762,256, 242,643,384 and 54,056,880

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Solution

The fourth proportional to 161,762,256, 242,643,384 and 54,056,880 is: 81,085,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,762,256 : 242,643,384 = 54,056,880 : x
  2. Step 2: Convert to fraction form
    161,762,256/242,643,384 = 54,056,880/x
  3. Step 3: Cross multiply
    161,762,256x = 242,643,384 × 54,056,880
  4. Step 4: Simplify right side
    161,762,256x = 13,116,544,291,681,920
  5. Step 5: Solve for x
    x = 13,116,544,291,681,920/161,762,256
  6. Step 6: Final answer
    x = 81,085,320

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.