Finding the Fourth Proportional to 180,683,818.98, 249,342,802.17 and 102,367,204.09
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Solution
The fourth proportional to 180,683,818.98, 249,342,802.17 and 102,367,204.09 is: 141,266,249.87
Step by Step Solution
- Step 1: Write the proportion equation
180,683,818.98 : 249,342,802.17 = 102,367,204.09 : x - Step 2: Convert to fraction form
180,683,818.98/249,342,802.17 = 102,367,204.09/x - Step 3: Cross multiply
180,683,818.98x = 249,342,802.17 × 102,367,204.09 - Step 4: Simplify right side
180,683,818.98x = 25,524,525,519,368,408 - Step 5: Solve for x
x = 25,524,525,519,368,408/180,683,818.98 - Step 6: Final answer
x = 141,266,249.87
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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.